Advertisements
Advertisements
Question
The dimensions of the model of a multistorey building are 1.2 m × 75 cm × 2 m. If the scale factor is 1 : 30; find the actual dimensions of the building.
Solution
Dimensions of a model of multistorey building = 1.2 m × 75 cm × 2 m
Given scale factor = k = 30
∴ Actual length of building
= k × length of model
= `1.2 m xx 30/1`
= 36 m
And actual breadth of building
= k × breadth of model
= 75 cm
= `(75 xx 30)/100 m`
= `2250/100 m`
= 22.5 m
Actual height of building
= k × height of model
= `2 xx 30/1`
= 60 m
∴ Actual dimensions of the building are 36 m × 22.5 m × 60 m
APPEARS IN
RELATED QUESTIONS
D is a point on the side BC of ∆ABC such that ∠ADC = ∠BAC. Prove that` \frac{"CA"}{"CD"}=\frac{"CB"}{"CA"} or "CA"^2 = "CB" × "CD".`
In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form:
In a circle, two chords AB and CD intersect at a point P inside the circle. Prove that
(a) ΔPAC ∼PDB (b) PA. PB= PC.PD
Select the appropriate alternative.
In ∆ABC and ∆PQR, in a one to one correspondence \[\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}\]
In ∆ABC and ∆DEF ∠B = ∠E, ∠F = ∠C and AB = 3DE then which of the statements regarding the two triangles is true ?
In the following figure, point D divides AB in the ratio 3 : 5. Find : `(AE)/(AC)`
ΔABC is right angled at A. AD is drawn perpendicular to BC. If AB = 8cm and AC = 6cm, calculate BD.
In the figure, PQR is a straight line and PS || RT. If QS = 12cm, QR = 15cm, QT = 10cm and RT = 6cm, find PQ and PS.
If ∆ABC ~ ∆QRP, `(ar(ABC))/(ar(PQR)) = 9/4`, AB = 18 cm and BC = 15 cm, then PR is equal to ______.
In the adjoining diagram the length of PR is ______.
